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3. The following data refer to a single-phase transformer: R₂ = 0.06 ; X₂ = 0.25 ; Turns ratio a = 19.5; R₁ = 25 2; X₁ = 100; No-load current = 1.25 A leading the flux by 30°. The secondary delivers 200 A at a terminal voltage of 500 V at power factor 0.8 lagging. (a) (i) Determine the secondary induced emf E2. (ii) Determine the primary induced emf E₁. (ii) Determine the primary current I₁. (b) (i) Determine the no-load current Io. (c) Determine the primary applied voltage V₁. (d) Determine primary power factor. (e) (i) Determine the no-load primary input power, Po. (ii) Determine the total copper losses, P cu' (iii)Determine the total losses, Ploss (f) (i) Determine the total output power, Pout (ii) Determine the total input power, Pin (iii)Determine the efficiency 77 of the transformer. (g) Sketch the complete closed phasor diagram for the transformer.